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Finding the Fourth Proportional to 11,961.78, 16,507.35 and 7,242.78

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Solution

The fourth proportional to 11,961.78, 16,507.35 and 7,242.78 is: 9,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.78 : 16,507.35 = 7,242.78 : x
  2. Step 2: Convert to fraction form
    11,961.78/16,507.35 = 7,242.78/x
  3. Step 3: Cross multiply
    11,961.78x = 16,507.35 × 7,242.78
  4. Step 4: Simplify right side
    11,961.78x = 119,559,104.43
  5. Step 5: Solve for x
    x = 119,559,104.43/11,961.78
  6. Step 6: Final answer
    x = 9,995.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.